blowing up (Q3425)
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in algebraic geometry, a transformation on an algebraic variety or scheme, wherein a closed subvariety is replaced with the space of lines passing through it (in the case of a point, a projective space), commonly used to resolve singularities
- monoidal transformation
- locally quadratic transformation
- dilatation
- σ-process
- Hopf map
- blow-up
- blowup
In more languages
Configure| Language | Label | Description | Also known as |
|---|---|---|---|
| English | blowing up |
in algebraic geometry, a transformation on an algebraic variety or scheme, wherein a closed subvariety is replaced with the space of lines passing through it (in the case of a point, a projective space), commonly used to resolve singularities |
|
Statements
Blowup.png
1,024 × 1,024; 182 KB
1,024 × 1,024; 182 KB
affine chart of the blowing-up of the affine plane at the origin; the exceptional curve is marked in red, and the strict transforms of some lines through the origin are marked in gray (English)
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